Question
Represent $\sqrt{4.7}$ geometrically on the number line.
✓
Answer
Draw a line segment AB = 4.7 units and extend it to C such that BC = 1 unit.
Find the midpoint O of AC.
With O as centre and OA as radius, draw a semicircle.
Now, draw $\text{BD}\perp\text{AC},$ intersecting the semicircle at D.
Then, $\text{BD}=\sqrt{4.7}\text{units}.$
With B as centre and BD as radius, draw an arc, meeting AC produced at E.
Then, $\text{BE}=\text{BD}=\sqrt{4.7}\ \text{units}.$
Find the midpoint O of AC.
With O as centre and OA as radius, draw a semicircle.
Now, draw $\text{BD}\perp\text{AC},$ intersecting the semicircle at D.
Then, $\text{BD}=\sqrt{4.7}\text{units}.$
With B as centre and BD as radius, draw an arc, meeting AC produced at E.
Then, $\text{BE}=\text{BD}=\sqrt{4.7}\ \text{units}.$
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